Theorems · Theorem · general topology

Filter.EventuallyEq.of_indicator

∀ {α : Type u_1} {β : Type u_2} [inst : Zero β] {l : Filter α} {f : α → β},
  (∀ᶠ (x : α) in l, f x ≠ 0) → ∀ {s t : Set α}, s.indicator f =ᶠ[l] t.indicator f → s =ᶠ[l] t

Defined in

Mathlib.Order.Filter.IndicatorFunction

Cited by

1 results in Mathlib

Foundations

Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

Zero